Over 12 innings (out every time), Meenakshi's batting average is 42. Her highest score is 90 runs more than her lowest. If these two innings are left out, the average of the other 10 innings is 39. What is her highest score?

Explanation

1. 01

   Total runs = $12 \times 42 = 504$.

2. 02

   Other ten innings = $10 \times 39 = 390$, so highest + lowest = $504 - 390 = 114$.

3. 03

   Highest − lowest = 90.

4. 04

   Highest = $\frac{114 + 90}{2} = 102$ (and lowest = 12).